Dynamic Production Theory under No-Arbitrage Constraints

Zhao, Guo (2014): Dynamic Production Theory under No-Arbitrage Constraints.

Abstract

I propose a dynamic production model under the joint constraints of technology, budget and no arbitrage. Comparative static and dynamic analysis indicate that this model is consistent with the behavior of firms in reality, and can explain a wide range of economic phenomena. Compared with classical production theory, this model confers some methodological advantages: (i) it turns out to be a natural generalization of classical production theory; (ii) it constitutes a marriage of production theory and finance; (iii) it constructs a bridge between microeconomics and macroeconomics; (iv) it successfully reconciles some long-standing contradictions arising from classical theory.

• Item Type: MPRA Paper
• Language: English
• Keywords: no arbitrage, Modigliani-Miller Theorem, money neutrality, Gibson paradox, Phillips curve, purchasing power parity, Balassa-Samuelson effect, Lucas critique
• Subjects: D - Microeconomics > D2 - Production and Organizations; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy; G - Financial Economics > G0 - General

References

Akerlof, George A. 1973. “The Demand for Money: A General-Equilibrium Inventory-Theoretic Approach.” The Review of Economic Studies 40 (1): 115-130.

Akerlof, George A. 2007. “The Missing Motivation in Macroeconomics.” The American Economic Review 97 (1): 3-36.

Anderson, Philip W., Arrow, K. J. and Pines David. 1988. The Economy As An Evolving Complex System. Cambridge, MA: Westview Press.

Ang, A., Dong S., and Piazzesi M. 2007. “No-Arbitrage Taylor Rules.” NBER Working Paper No. 13448.

Arrow, K. J. 1951. “Alternative Proof of the Substitution Theorem for Leontief Models in the General Case.” Chapter IX in Activity Analysis of Production and Allocation, ed. by T. C. Koopmans, New York.

Arrow, K. J., and Debreu, Gerard. 1954. “Existence of an Equilibrium for a Competitive Economy.” Econometrica 22(3):265-290.

Arthur, W. Brian, Durlauf Steven N. and Lane David. 1997. The Economy As An Evolving Complex System II. MA: Addison-Wesley.

Becker, Gary S. 1962. “Irrational Behavior and Economic Theory.” Journal of Political Economy 70(1):1-13.

Balassa, B. 1964. “The Purchasing Power Parity Doctrine: A Reappraisal.” Journal of Political Economy 72 (6): 584–596.

Blume, Lawrence E. and Durlauf Steven N. 2006. The Economy As An Evolving Complex System III. New York: Oxford University Press, 1997.

Bolton, P.; dewatripont, M. 1995. “The time and budget constraints of the firm.” European Economic Review 39(3):691-699.

Cassel, Gustav. (1918). “Abnormal Deviations in International Exchanges.” The Economic Journal 28(112):413–415.

Diamond, Peter A. 1967. “The Role of a Stock Market in a General Equilibrium Model with Technological Uncertainty.” The American Economic Review 57(4):759-776.

Dybvig, Philip H. and Ross, Stephen A. 2008. “arbitrage.” The New Palgrave Dictionary of Economics. Second Edition. Eds. Steven N. Durlauf and Lawrence E. Blume. Palgrave Macmillan.

Fama, Eugene. 1970. “Efficient Capital Markets: A Review of Theory and Empirical Work.” Journal of Finance 25 (2): 383–417.

Fama, Eugene. 1975. “Short-Term Interest Rates as Predictors of Inflation.” American Economic Review 65(3): 269-282.

Feynman R, Leighton R, and Sands M. 2013. The Feynman Lectures on Physics, Volume I (online edition), The Feynman Lectures Website. http://feynmanlectures.caltech.edu/I_toc.html

Fisher, Irving. 1911. “"The Equation of Exchange," 1896-1910.” American Economic Review 1(2): 296-305.

Fisher, Irving. 1930. The Theory of Interest. New York: Macmillan.

Fleming, J. Marcus. 1962. “Domestic financial policies under fixed and floating exchange rates.” IMF Staff Papers 9: 369–379.

M. Friedman and A. J. Schwartz. 1963. A Monetary History of the United States, Princeton.

Friedman, Milton. 1968. “The Role of Monetary Policy.” American Economic Review 58(1): 1-17.

M. Friedman and A. J. Schwartz. 1982. “The Role of Money.” In Monetary Trends in the United States and United Kingdom: Their Relation to Income, Prices, and Interest Rates, 1867-1975, University of Chicago Press.

Hicks, J. R. 1937. “Mr. Keynes and the "Classics"; A Suggested Interpretation.” Econometrica 5(2):147-159.

Keynes, John M. 1930. A Treatise on Money. London : Macmillan.

Keynes, John M. 1936. The General Theory of Employment, Interest, and Money. New York: Macmillan.

Kornai, J. 1979. “Resource-Constrained versus Demand-Constrained Systems.” Econometrica 47(4):801-819.

Kuga, Kiyoshi. 1996. “Budget constraint of a firm and economic theory.” Economic Theory 8(1):137-153.

Kydland, F. and E. Prescott. 1977. “Rules rather than discretion: The inconsistency of optimal plans.” Journal of Political Economy 85(3):473-491.

Kydland, F. and E. Prescott. 1982. “Time to build and aggregate fluctuations.” Econometrica 50(6):1345-1371. Ljungqvist Lars, Sargent, Thomas J. 2012. Recursive Macroeconomic Theory (3rd ed), Cambridge, Mass.: MIT Press.

Lucas, Robert E., Jr. 1973. “Some International Evidence on Output-inflation Tradeoffs.” American Economic Review 63(3):326-34.

Lucas, Robert E., Jr. 1976. “Econometric policy evaluation: A critique.” In Brunner, K. and A. H. Meltzer (eds.), The Phillips Curve and Labor Markets 1(1):19-46.

Lucas, Robert E., Jr. 1988. “On the Mechanics of Economic Development.” Journal of Monetary Economics 22: 3-42.

Lucas, Robert E., Jr. 1996. “Nobel Lecture: Monetary Neutrality.” The Journal of Political Economy 104 (4): 661-682.

Lucas, Robert E., Jr., and Prescott, Edward C. 1971. “Investment Under Uncertainty.” Econometrica 39(5):659-681.

Lucas, Robert E., Jr., and Thomas J. Sargent. 1978. “After Keynesian Macroeconomics.” In After the Phillips Curve: Persistence of High Inflation and Unemployment, (Proceedings of Conference 19). Boston: Federal Reserve Bank of Boston.

May, Robert M. 1976. “Simple mathematical models with very complicated dynamics.” Nature 261(5560):459-467.

Miller, Merton H. 1988. “The Modigliani-Miller Propositions After Thirty Years.” Journal of Economic Perspectives 2(4): 99-120.

Mirrlees, J. 1969. “The dynamic nonsubstitution theorem”, Review of Economic Studies 36: 67-76.

Modigliani, Franco. 1963. “The Monetary Mechanism and Its Interaction with Real Phenomena.” The Review of Economics and Statistics 45(1): 79-107.

Modigliani, Franco. 1988. “MM--Past, Present, Future.” The Journal of Economic Perspectives 2(4):149-158.

Modigliani, Franco, and Miller, Merton H. 1958. “The Cost of Capital, Corporation Finance and the Theory of Investment.” American Economic Review 48(3): 261-97.

Mundell, Robert A. 1963. “Capital mobility and stabilization policy under fixed and flexible exchange rates.” Canadian Journal of Economic and Political Science 29(4): 475–485.

Muth, John F. 1961. “Rational Expectations and the Theory of Price Movements.” Econometrica 29: 315-35.

Okun, Arthur M. 1962. “Potential GDP: Its measurement and significance.” In Proceedings of the Business and Economics Statistics Section, American Statistical Association.

Phillips, Alban W. 1958. “The Relation between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom, 1861-1957.” Economica 25(100): 283-99.

Porter, Michael E. 1985. Competitive Advantage: Creating and Sustaining Superior Performance. NY: Free Press, 1985. (Republished with a new introduction, 1998.)

Prescott, Edward C. 1998. “Lawrence R. Klein Lecture 1997: Needed: A Theory of Total Factor Productivity.” International Economic Review 39 (3): 525-551.

Robinson, Joan. 1971. “The Measure of Capital: The End of the Controversy.” The Economic Journal 81(323): 597-602.

Ross, Stephen A. 2004. Neoclassical Finance. Princeton University Press.

Samuelson, P. A. 1941. “The Stability of Equilibrium: Comparative Statics and Dynamics.” Economica 9 (2): 97-120.

Samuelson, P. A. 1951. "Abstract of a Theorem Concerning Substitutability in Open Leontief Models ", Chapter VII in Activity Analysis of Production and Allocation, ed. by T. C. Koopmans, New York.

Samuelson, P. A. 1964. “Theoretical Notes on Trade Problems.” Review of Economics and Statistics 46 (2): 145–154.

Samuelson, P. A. 1994. “Facets of Balassa-Samuelson Thirty Years Later.” Review of International Economics 2 (3): 201–226.

Sandmo, Agnar. 1971. “On the theory of the competitive firm under price uncertainty.” American Economic Review 61(1): 65-73.

Sargent, T. J. 1973. “Interest Rates and Prices in the Long Run: A Study of the Gibson Paradox.” Journal of Money, Credit and Banking 5(1):385-449.

Simon, Herbert A. 1979. “On Parsimonious Explanations of Production Relations.” The Scandinavian Journal of Economics 81(4):459-474.

Solow, Robert. 1956. “A Contribution to the Theory of Economic Growth.” The Quarterly Journal of Economics 70 (1): 65-94.

Stiglitz J. 1970. “Nonsubstitution theorem with durable capital goods”, Review of Economic Studies 37:543-553.

Tobin, James. 1958. “Liquidity Preference as Behaviour Towards Risk.” Review of Economic Studies 25 (2): 65-86.

Tobin, James. 1961. “Money, Capital, and Other Stores of Value.” The American Economic Review 51 (2): 26-37.

Tobin, James. 1965. “Money and Economic Growth.” Econometrica 33 (4): 671-684.